In this paper, we are concerned about a graphene-based absorber model, which incorporates both the interband conductivity and intraband conductivity of the graphene. We first establish an energy identity and stability for the continuous model. Then we propose a finite element time-domain method for solving the model by edge elements. Numerical stability and optimal error estimate are proved for the scheme. Numerical results are presented to justify the error estimate and demonstrate the wave absorbing phenomenon by graphene slab.

中文翻译：

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开发和分析一种用于模拟基于石墨烯的吸收体中的波传播的有限元方法

在本文中，我们关注基于石墨烯的吸收体模型，该模型结合了石墨烯的带间电导率和带内电导率。我们首先为连续模型建立能量恒等式和稳定性。然后，我们提出了一种有限元时域方法，用于通过边缘元素求解模型。证明了该方案的数值稳定性和最优误差估计。给出了数值结果来证明误差估计的合理性，并证明石墨烯板的吸波现象。